An Expansion of the Truncated Icosahedron — and, Perhaps, a New Near-Miss

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An Expansion of the Truncated Icosahedron -- and, Perhaps, a New Near-Miss

To create this using Stella 4d (see http://www.software3d.com/stella.php), I started with a truncated icosahedron, augmented each of its faces with a prism that was 1.5 times as tall as the base edge length, and took the convex hull of the result. It may qualify as a near-miss to the Johnson Solids — for that to be the case, all faces would have to be close to regular, but “close to” has no precise definition. I’ll have to consult with the experts on this one!

2 thoughts on “An Expansion of the Truncated Icosahedron — and, Perhaps, a New Near-Miss”

  1. I think that this one can be made with equilateral triangles and regular squares, pentagons, and hexagons. It just isn’t quite spherical. Under these conditions it can be seen as a great rhombicosidodecahedron with one small rhombicosidodecahedron cap on each of the decagons.

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